Search a number
-
+
5849049024 = 2632713151739
BaseRepresentation
bin1010111001010000…
…10110011111000000
3120002122000110212100
411130220112133000
543434324032044
62404221230400
7264642045030
oct53450263700
916078013770
105849049024
1125316aa115
121172a02400
13722a26070
143d6b578c0
1524376b869
hex15ca167c0

5849049024 has 336 divisors, whose sum is σ = 20798901760. Its totient is φ = 1530316800.

The previous prime is 5849049023. The next prime is 5849049029. The reversal of 5849049024 is 4209409485.

5849049024 is a `hidden beast` number, since 58 + 4 + 90 + 490 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×58490490242 = 68422748970310705152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5849049023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7914447 + ... + 7915185.

Almost surely, 25849049024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5849049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399450880).

5849049024 is an abundant number, since it is smaller than the sum of its proper divisors (14949852736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5849049024 is a wasteful number, since it uses less digits than its factorization.

5849049024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5849049024 is about 76479.0757266326. The cubic root of 5849049024 is about 1801.7523083809.

The spelling of 5849049024 in words is "five billion, eight hundred forty-nine million, forty-nine thousand, twenty-four".